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220212022010220 = 223252883742424667
BaseRepresentation
bin110010000100100000011011…
…010110001110000101101100
31001212201001201102220122102100
4302010200123112032011230
5212330423210113311340
62100204001211055100
764245536122601052
oct6204403326160554
91055631642818370
10220212022010220
1164191437566819
1220846694741490
1395b4b9b4619a6
143c544668701d2
151a6d347a16830
hexc8481b58e16c

220212022010220 has 72 divisors (see below), whose sum is σ = 667999646378064. Its totient is φ = 58721168101248.

The previous prime is 220212022010173. The next prime is 220212022010221. The reversal of 220212022010220 is 22010220212022.

220212022010220 is a `hidden beast` number, since 2 + 2 + 0 + 212 + 0 + 220 + 10 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220212022010193 and 220212022010202.

It is not an unprimeable number, because it can be changed into a prime (220212022010221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16021674 + ... + 26402993.

It is an arithmetic number, because the mean of its divisors is an integer number (9277772866362).

Almost surely, 2220212022010220 is an apocalyptic number.

220212022010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212022010220 is an abundant number, since it is smaller than the sum of its proper divisors (447787624367844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220212022010220 is a wasteful number, since it uses less digits than its factorization.

220212022010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42453519 (or 42453514 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212022010220 its reverse (22010220212022), we get a palindrome (242222242222242).

The spelling of 220212022010220 in words is "two hundred twenty trillion, two hundred twelve billion, twenty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 28837 57674 86511 115348 144185 173022 259533 288370 346044 432555 519066 576740 865110 1038132 1297665 1730220 2595330 5190660 42424667 84849334 127274001 169698668 212123335 254548002 381822003 424246670 509096004 636370005 763644006 848493340 1272740010 1527288012 1909110015 2545480020 3818220030 7636440060 1223400122279 2446800244558 3670200366837 4893600489116 6117000611395 7340400733674 11010601100511 12234001222790 14680801467348 18351001834185 22021202201022 24468002445580 36702003668370 44042404402044 55053005502555 73404007336740 110106011005110 220212022010220